Question

What is the 100th digit in decimal part of 2/7 .​

Answer 1

Answer:

7

Step-by-step explanation:

If you divide 2 by 7 it is a recurring decimal which is:-

2/7 = 0.285714285714285714.......

Since it has 6 recurring digits the largest number divisible by 6 before 100 is 96, so the 96th digit is 4. Then if you count 4 more digits from 2 then you will you will get 7, so the 100th digit is 7.

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Answer 2

Answer:

Division by 7 is pretty nice for this kind of problem.

1/7=0.142857142857...

There are always 6 digits which then repeat forever.

100 mod 6 = 4

The fourth digit in 1/7 after the decimal point is 8 = the 100th digit after the decimal point is 8.